7661456000 has 256 divisors, whose sum is σ = 21034391040. Its totient is φ = 2752000000.

The previous prime is 7661455961. The next prime is 7661456057. The reversal of 7661456000 is 6541667.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17775785 + ... + 17776215.

It is an arithmetic number, because the mean of its divisors is an integer number (82165590).

Almost surely, 2^7661456000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7661456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10517195520).

7661456000 is an abundant number, since it is smaller than the sum of its proper divisors (13372935040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7661456000 is a wasteful number, since it uses less digits than its factorization.

7661456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 7661456000 is about 87529.7435161328. The cubic root of 7661456000 is about 1971.3804131023.

Adding to 7661456000 its reverse (6541667), we get a palindrome (7667997667).

The spelling of 7661456000 in words is "seven billion, six hundred sixty-one million, four hundred fifty-six thousand".